TSTP Solution File: GEO177+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO177+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:03:15 EDT 2022
% Result : Theorem 0.35s 1.40s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO177+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 17:41:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(con, conjecture, ! [_24274, _24277, _24280, _24283] : (distinct_points(_24274, _24277) & distinct_points(_24280, _24283) => apart_point_and_line(_24274, line_connecting(_24280, _24283)) | apart_point_and_line(_24277, line_connecting(_24280, _24283)) => apart_point_and_line(_24280, line_connecting(_24274, _24277)) | apart_point_and_line(_24283, line_connecting(_24274, _24277))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.35/1.42 fof(apart1, axiom, ! [_24662] : ~ distinct_points(_24662, _24662), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.35/1.42 fof(apart4, axiom, ! [_24778, _24781, _24784] : (distinct_points(_24778, _24781) => distinct_points(_24778, _24784) | distinct_points(_24781, _24784)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.35/1.42 fof(con1, axiom, ! [_24965, _24968, _24971] : (distinct_points(_24965, _24968) => apart_point_and_line(_24971, line_connecting(_24965, _24968)) => distinct_points(_24971, _24965) & distinct_points(_24971, _24968)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.35/1.42 fof(cu1, axiom, ! [_25208, _25211, _25214, _25217] : (distinct_points(_25208, _25211) & distinct_lines(_25214, _25217) => apart_point_and_line(_25208, _25214) | apart_point_and_line(_25208, _25217) | apart_point_and_line(_25211, _25214) | apart_point_and_line(_25211, _25217)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.35/1.42 fof(ceq1, axiom, ! [_25488, _25491, _25494] : (apart_point_and_line(_25488, _25491) => distinct_points(_25488, _25494) | apart_point_and_line(_25494, _25491)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq1)).
% 0.35/1.42 fof(ceq2, axiom, ! [_25674, _25677, _25680] : (apart_point_and_line(_25674, _25677) => distinct_lines(_25677, _25680) | apart_point_and_line(_25674, _25680)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.42 cnf(2, plain, [-(distinct_points(3 ^ [], 4 ^ []))], clausify(con)).
% 0.35/1.42 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.42 cnf(4, plain, [apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.42 cnf(5, plain, [-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ [])))], clausify(con)).
% 0.35/1.42 cnf(6, plain, [distinct_points(_6015, _6015)], clausify(apart1)).
% 0.35/1.42 cnf(7, plain, [distinct_points(_6591, _6647), -(distinct_points(_6591, _6702)), -(distinct_points(_6647, _6702))], clausify(apart4)).
% 0.35/1.42 cnf(8, plain, [distinct_points(_7992, _8057), apart_point_and_line(_8121, line_connecting(_7992, _8057)), -(distinct_points(_8121, _7992))], clausify(con1)).
% 0.35/1.42 cnf(9, plain, [distinct_points(_7992, _8057), apart_point_and_line(_8121, line_connecting(_7992, _8057)), -(distinct_points(_8121, _8057))], clausify(con1)).
% 0.35/1.42 cnf(10, plain, [distinct_lines(_9359, _9436), distinct_points(_9202, _9281), -(apart_point_and_line(_9202, _9359)), -(apart_point_and_line(_9202, _9436)), -(apart_point_and_line(_9281, _9359)), -(apart_point_and_line(_9281, _9436))], clausify(cu1)).
% 0.35/1.42 cnf(11, plain, [apart_point_and_line(_10043, _10099), -(distinct_points(_10043, _10154)), -(apart_point_and_line(_10154, _10099))], clausify(ceq1)).
% 0.35/1.42 cnf(12, plain, [apart_point_and_line(_10510, _10566), -(distinct_lines(_10566, _10621)), -(apart_point_and_line(_10510, _10621))], clausify(ceq2)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(3)).
% 0.35/1.42 cnf('1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(3 ^ [], 4 ^ []), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(10,bind([[_9202, _9359, _9281, _9436], [3 ^ [], line_connecting(3 ^ [], 4 ^ []), 4 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(12,bind([[_10566, _10510, _10621], [line_connecting(3 ^ [], 4 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.42 cnf('1.1.1.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ []))), apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(11,bind([[_10099, _10043, _10154], [line_connecting(3 ^ [], 4 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(5)).
% 0.35/1.42 cnf('1.1.1.1.1.1',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ []))],reduction('1.1.1')).
% 0.35/1.42 cnf('1.1.1.1.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 1 ^ []))],extension(8,bind([[_8057, _8121, _7992], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.1.2.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(12,bind([[_10510, _10566, _10621], [1 ^ [], line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.42 cnf('1.1.1.1.2.1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(5)).
% 0.35/1.42 cnf('1.1.1.1.2.1.1.1',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ []))],reduction('1.1.1')).
% 0.35/1.42 cnf('1.1.1.1.2.1.2',plain,[distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ []))],reduction('1.1')).
% 0.35/1.42 cnf('1.1.1.1.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(6,bind([[_6015], [1 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(8,bind([[_8057, _8121, _7992], [2 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.1.2.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(7,bind([[_6591, _6647, _6702], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(6,bind([[_6015], [2 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2.2.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(2 ^ [], 2 ^ []))],extension(9,bind([[_7992, _8121, _8057], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.2.2.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],reduction('1.1.1')).
% 0.35/1.42 cnf('1.1.1.2.2.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(6,bind([[_6015], [2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(8,bind([[_8057, _8121, _7992], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.35/1.42 cnf('1.1.3.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.3.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(6,bind([[_6015], [3 ^ []]]))).
% 0.35/1.42 cnf('1.1.4',plain,[apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ []), -(distinct_points(4 ^ [], 3 ^ []))],extension(8,bind([[_8057, _8121, _7992], [4 ^ [], 4 ^ [], 3 ^ []]]))).
% 0.35/1.42 cnf('1.1.4.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.4.2',plain,[distinct_points(4 ^ [], 3 ^ []), -(distinct_points(4 ^ [], 4 ^ [])), -(distinct_points(3 ^ [], 4 ^ []))],extension(7,bind([[_6591, _6647, _6702], [4 ^ [], 3 ^ [], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.4.2.1',plain,[distinct_points(4 ^ [], 4 ^ [])],extension(6,bind([[_6015], [4 ^ []]]))).
% 0.35/1.42 cnf('1.1.4.2.2',plain,[distinct_points(3 ^ [], 4 ^ []), apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(distinct_points(4 ^ [], 4 ^ []))],extension(9,bind([[_7992, _8121, _8057], [3 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.35/1.42 cnf('1.1.4.2.2.1',plain,[-(apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.35/1.42 cnf('1.1.4.2.2.2',plain,[distinct_points(4 ^ [], 4 ^ [])],extension(6,bind([[_6015], [4 ^ []]]))).
% 0.35/1.42 cnf('1.1.5',plain,[apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(4)).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42
% 0.43/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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